Fetching the paper…
Reading the bibliography…
This is a tutorial paper that gives the complete proof of a result of Frolov [2] that shows the optimal order of convergence for numerical integration of functions with bounded mixed derivatives.
K. K. Frolov, Upper error bounds for quadrature formulas on function classes, Dokl. Akad. Nauk SSSR 231
1976
Earlier work this paper cites.
K. K. Frolov, Upper bound of the discrepancy in metric L p L_{p} , 2 ≤ p < ∞ 2\leq p<\infty , Dokl. Akad. Nauk SSSR 252
1980
Earlier work this paper cites.
V. N. Temlyakov, Approximation of periodic functions , Computational Mathematics and Analysis Series, Nova Science Publishers, Inc., Commack, NY, 1993
1993
Earlier work this paper cites.
M. M. Skriganov, Constructions of uniform distributions in terms of geometry of numbers, Algebra i Analiz 6
1994
Cited alongside, same era.
I. H. Sloan and S. Joe, Lattice methods for multiple integration , Oxford Science Publications, New York, 1994
1994
Cited alongside, same era.
B. Fine and G. Rosenberger, The fundamental theorem of algebra , Undergraduate Texts in Mathematics, Springer-Verlag, New York, 1997
1997
Cited alongside, same era.
V. N. Temlyakov, Cubature formulas, discrepancy, and nonlinear approximation, J. Complexity 19
2003
Later among the works it cites.
C.-L. Lee and K. B. Wong, On Chebyshev’s polynomials and certain combinatorial identities, Bull. Malays. Math. Sci. Soc. (2) 34
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…